Solving/interpreting linear inequalities in one variable

• - 1/3 < n or n > 5/3
• -1/3 < n < 5/3
• 1/3 < n < 5/3
• n < -5/3 or n > 1/3

Solve for r.

• r ≥ -38 and r ≤ 32
• r > -38 and r < 32
• r ≥ -38 or r ≤ 32
• r > -38 or r < 32

• No solution

• All real numbers

• One solution

• Two solutions

Solve the inequality: $\left|a\right|>4$  

•  $a=4\ or\ a=-4$  

•  $a>4$  

•  $-4<a<4$  

•  $a<-4$  

•  $a<-4\ or\ a>4$  

A candy store is selling 5-pound Valentine's Day chocolate bars. The weight of each chocolate bar must be within a range of 1/8 of a pound. What is the maximum weight allowed for the chocolate bar? (write your answer as a decimal)

How many solutions will the inequality have:

 $\left|x-4\right|>-6$  

• no solutions

• 1

• 2

• All Real numbers

Solve.
|y - 1| ≤ 6

• -7 ≤ y ≤ 5
• y ≤ -7 or y ≥ 5
• -5 ≤ y ≤ 7
• y ≤ -5 or y ≥ 7

 $−3∣2−4u∣+5<−13$  

Solve the inequalities

•  $No\ solution$  

•  $u>2\ or\ u<−1$  

•  $u>2\ or\ u<−1$  

•  $All\ real\ numbers$  

• no solution

• infinite solutions

• x > -19, x < -9

• no solution except when x = -14

How many solutions will the inequality have:

 $\left|x+2\right|<-9$  

• no solutions

• 1

• 2

• All Real numbers